For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) (a) To examine the safety of working in a nuclear power plant, we assess deaths due to cancer among all deaths at a particular power plant. Based on vital statistics, about 20% of all deaths can be attributed to some form of cancer. (b) A randomized trial study is performed to compare survival (time to death in months) two chemotherapy drugs (A vs B) among cancer patients. A sample of cancer patients are randomly assigned to treatment A or B.

In this assignment students will demonstrate their understanding of the distribution of means doing all steps of hypothesis testing.   For each problem students will write out all steps of hypothesis testing: 1. State the null and research hypotheses. 2. Set the level of risk associated with the null hypothesis. 3. Select the appropriate test statistic. 4. Compute the test statistic value (called the obtained value). 5. Determine the value needed for rejection of the null hypothesis using the appropriate table of critical values for the particular statistic. 6. Compare the obtained value and the critical value. 7. Make your decision. After completing of the steps of hypothesis tests, write out your results in APA format and in easy-to-understand language. 4. The average age for licensed drivers in a county is 43.4, with a standard deviation of 16, and the distribution is approximately normal. A county police officer was interested in whether the average age of those receiving speeding…

If you test the (one sample) null hypothesis that the population proportion p ≤ 0.3 and you get the test statistic value of z = -0.98, then using a 5% ignificance level, Group of answer choices the alternative hypothesis looks believable. the null hypothesis looks believable. the null and alternative hypotheses both look believable. none of the above.

a. State the hypotheses and identify the claim. b. Find the critical value c. Compute the test value. d. Make the decision e. Summarize the results. Undergraduate Enrollment It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates. A random sample of 500 enrolled college students in a particular state revealed that 420 of them were undergraduates. Is there sufficient evidence to conclude that the proportion differs from the national percentage?   Use a=0.05

A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time. (Source: Gallup Politics, Americans' Views of Egypt Sharply More Negative, data collected February 2-5, 2011).

Test the claim that the mean GPA of night students is smaller than 3.1 at the 0.01 significance level.The null and alternative hypothesis would be:   H0:μ=3.1H0:μ=3.1H1:μ≠3.1H1:μ≠3.1 H0:μ≥3.1H0:μ≥3.1H1:μ<3.1H1:μ<3.1 H0:p≥0.775H0:p≥0.775H1:p<0.775H1:p<0.775 H0:p≤0.775H0:p≤0.775H1:p>0.775H1:p>0.775 H0:p=0.775H0:p=0.775H1:p≠0.775H1:p≠0.775 H0:μ≤3.1H0:μ≤3.1H1:μ>3.1H1:μ>3.1 The test is:   left-tailed right-tailed two-tailed Based on a sample of 75 people, the sample mean GPA was 3.07 with a standard deviation of 0.06The p-value is:  (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the community and tested for support of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five-step model in making the hypothesis test and write a sentence or two interpreting your results. Use α = .05.  Support For Against Total Less than 40 145 103 248 More than 40 Total Age 78 223 169 272 247 495

In a hypothesis test with hypotheses Ho : p= 0.26 and H1 :p+ 0.26, a random sample of size 771 produced a sample proportion of 0.2450. The test is to be made at the 1% significance level. What are the critical values of z? -2.12 and 2.12 -2.33 and 2.33 -2.58 and 2.58 -2.17 and 2.17 What is the value of the test statistic, z, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?

A dental assistant is interested in the proportion of patients that need a root canal. Let the proportion of patients that need a root canal be p. If the dental assistant wanted to know if the proportion of patients that need a root canal is more than 20%, what are the null and alternative hypotheses?   Select the correct answer below:   H0: p=0.20; Ha: p<0.20   H0: p>0.20; Ha: p=0.20   H0: p=0.20; Ha: p>0.20   H0: μ=0.20; Ha: μ>0.20

A random sample of n₁ = 16 communities in western Kansas gave the following rates of hay fever per 1000 population for people under 25 years of age. 121 115 124 99 134 121 110 116 113 96 116 116 135 96 96 116 A random sample of n₂ = 14 communities in western Kansas gave the following rates of hay fever per 1000 population for people over 50 years old. 113 86 106 102 113 94 94 108 103 99 78 105 88 100 Assume that the hay fever rate in each age group has an approximately normal distribution. Using the method outlined in Brase and Brase, do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0,05. Do you reject or fail to reject the null hypothesis? Are the data statistically significant at the α = 0.05 level of significance?